There is widespread intuition that historical injustices require reparations. This paper considers one philosophical problem for reparations: the Nonidentity Objection. The Objection states that present agents are not owed reparations for historical injustices because without the historical injustice they would not exist. I show the Objection only challenges the possibility of reparations for historical injustice if we adopt a particular model of reparative justice that takes someone experiencing harms to be a necessary condition for reparative justice. Instead, if we adopt (...) a different model of reparative justice based on relational wrongdoing, we can avoid the Objection. I defend my solution by considering the Nonidentity Objection in detail. I show that it challenges harm-based models of reparative justice regardless of the account of harm that the Objection uses. And I demonstrate that common objections to wrong-based solutions to the general nonidentity problem do not apply in the case of historical injustice. I conclude by sketching challenges my wrong-based model faces and argue that despite these challenges we ultimately have reason to prefer it over harm-based ones. (shrink)